{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "58yF5Z0Xikii"
      },
      "source": [
        "# NetworkX"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6r5gkquSikil"
      },
      "source": [
        "[NetworkX](https://networkx.org/) is a Python package for dealing with complex networks (graphs).  It provides Graph classes, graph algorithms, and visualization tools.\n",
        "\n",
        "You may need to\n",
        "```bash\n",
        "(pycourse) conda install networkx\n",
        "```"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "-Rl3v537ikil",
        "outputId": "0ddf1d5d-bd80-4b1d-a680-0f96a7fd006a"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "'2.5'"
            ]
          },
          "execution_count": 2,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import networkx as nx\n",
        "nx.__version__"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vorpSzQ6ikim"
      },
      "source": [
        "We'll cover some basics in NetworkX.  You can find additional information in the [NetworkX documentation](https://networkx.github.io/documentation/stable/), which includes [a tutorial](https://networkx.github.io/documentation/stable/tutorial.html).\n",
        "\n",
        "First, let's create a simple graph:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "TMAAdJW0ikin",
        "outputId": "5f7ae7af-1f25-4fa0-cef8-12095bf36b70"
      },
      "outputs": [
        {
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "G = nx.Graph()\n",
        "\n",
        "# add nodes\n",
        "G.add_node(0, name=\"dog\")\n",
        "G.add_node(1)\n",
        "G.add_nodes_from(range(3)) # adds nodes 0, 1\n",
        "\n",
        "# add edge from node 0 to node 1\n",
        "G.add_edge(0,1)\n",
        "\n",
        "# draws the graph to pyplot axes\n",
        "nx.draw(G, with_labels=True, font_weight='bold')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BZY9TKo4ikin"
      },
      "source": [
        "Graph nodes can be any hashable object, which covers many things you might use"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "HdrgnBMjikin",
        "outputId": "d6643255-8117-4265-d44f-e75600ee0636"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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/87vZPbLn+K7OJM3zL855134yh3Y9mIM/vD/TY4ez+JJfPb6rc/mbkyRHn3rk+K7OI6NZsm5DJvc9lS//+R/n85+9pd0lAcBpdfTJLbd+/eF85/EXZ31M2ZlNZ/89t+SB+7fl+uuv79SSAOAkHf0B+20brshQc+736I4+9Uimxw6nNTmRV3fel3PPGcz69es7uSQAOElHB9/bL12R2zeuzfCiuV12/NmRPHvPZ7P3b38ny/c9lgf+ZXuGh4c7uSQAOElh3s5w8/rLOr0MADhF197H96O9o7l7x5P5zyf2p5Fk7DTv47v+yguyecMVuWrNim4sAQBO0bXB95qXDo/nvkf3ZuT5Qzk4NpHlQ4uydvWyfOydZ34DOwB0S9cHHwAUSUc3twBA0Rl8ANSKwQdArRh8ANSKwQdArRh8ANSKwQdArRh8ANSKwQdArfw/ffuEN4r2lToAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "G = nx.Graph()\n",
        "\n",
        "# add nodes\n",
        "G.add_node(\"dog\")\n",
        "G.add_node(\"cat\")\n",
        "\n",
        "# add edge\n",
        "G.add_edge(\"cat\",\"dog\")\n",
        "\n",
        "# draws the graph to pyplot axes\n",
        "nx.draw(G, with_labels=True)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "e__mNtqXikio"
      },
      "source": [
        "You can also associate arbitrary data with each node and edge by passing in keyword arguments"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "UV_VMUKeikio",
        "outputId": "b2400c31-38b4-42b4-8943-73ffb4f6625a"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "G = nx.Graph()\n",
        "\n",
        "# add nodes\n",
        "G.add_node(\"dog\", name=\"Rover\", weight=10.0)\n",
        "G.add_node(\"cat\", name=\"Felix\", height=5)\n",
        "\n",
        "# add edge\n",
        "G.add_edge(\"cat\",\"dog\", time=2.0)\n",
        "\n",
        "# draws the graph to pyplot axes\n",
        "nx.draw(G, with_labels=True, labels=nx.get_node_attributes(G, \"name\"))\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Ch6kxHl2ikio",
        "outputId": "10272c08-f24d-4ca0-fbda-e360ae5caef4"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{'time': 2.0}"
            ]
          },
          "execution_count": 5,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "G.get_edge_data(\"cat\", \"dog\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "nP01qzA_ikip",
        "outputId": "e5a142ff-4525-42b6-9607-fea04b39af12"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{('dog', 'cat'): 2.0}"
            ]
          },
          "execution_count": 6,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "nx.get_edge_attributes(G, \"time\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "o_nGGE7Cikip",
        "outputId": "48bacc25-fabe-4b6f-cdcf-8473c034c99a"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{'dog': 'Rover', 'cat': 'Felix'}"
            ]
          },
          "execution_count": 7,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "names = nx.get_node_attributes(G, \"name\")\n",
        "names"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "JJqJKTc2ikip",
        "outputId": "d1c30661-4fbc-43c8-94a3-4372a72f78b0"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{'dog': 10.0}"
            ]
          },
          "execution_count": 14,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "weights = nx.get_node_attributes(G, \"weight\")\n",
        "weights"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "w6_aWe_gikip"
      },
      "source": [
        "## Generating Graphs\n",
        "NetworkX provides [Graph generators](https://networkx.github.io/documentation/stable/reference/generators.html) to generate a variety of random graphs.\n",
        "\n",
        "### Random Graphs\n",
        "\n",
        "#### Erdos-Renyi Graphs\n",
        "\n",
        "An Erdos-Renyi random graph $G_{n,p}$ is a graph on $n$ nodes, where the probability of an edge $(i,j)$ existing is $p$.  In NetworkX, this is called a `gnp` graph."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "4E2b850Iikiq",
        "outputId": "c3de215b-5828-468c-c166-44e49cf82f09"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "n = 50\n",
        "p = 5 / (n-1) # 5 is expected number of neighbors of a single vertex\n",
        "G = nx.gnp_random_graph(n, p)\n",
        "nx.draw(G, with_labels=False)\n",
        "plt.title(r'$G({},{})$'.format(n,p))\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cJ7hoJn5ikiq"
      },
      "source": [
        "#### Stochastic Block Models\n",
        "\n",
        "A Graph generated from a stochastic block model (SBM) has $k$ clusters, and a $k\\times k$ (symmetric) matrix $P$ of probabilities, where $P_{i,j}$ is the probability that a pair of nodes $(a,b)$ will be joined by an edge if $a$ is in cluster $i$ and $b$ is in cluster $j$."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "32PQpxoyikiq",
        "outputId": "c70b5a0a-8389-4b61-e0a6-3879d8c54655"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "ns = [25, 25, 25] # size of clusters\n",
        "ps = [[0.3, 0.01, 0.01], [0.01, 0.3, 0.01], [0.01, 0.01, 0.3]] # probability of edge\n",
        "G = nx.stochastic_block_model(ns, ps)\n",
        "nx.draw(G, with_labels=False)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KIW0J6x6ikiq"
      },
      "source": [
        "## Visualization\n",
        "\n",
        "Visualizing graphs is often a great way to see and understand information.\n",
        "\n",
        "Unless there is some \"ground truth\" way to lay out nodes (meaning each node has an associated coordinate), we must choose some way to place nodes in our visualization.  There are a variety of methods for this.\n",
        "\n",
        "\n",
        "### Layouts\n",
        "\n",
        "There are several layout methods you might use, which are good for certain applications.\n",
        "\n",
        "**Spectral Embeddings** are good for partitioning the graph into clusters."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "82fmgqkuikiq",
        "outputId": "34c2c41e-8a99-429b-ad0f-bcd7cd4e3142"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "nx.draw_spectral(G)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "NmzUcLDfikiq"
      },
      "source": [
        "**Spring layouts** tend to do a good job of separating nodes, which can be nice for visualization"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "bvEQapNiikiq",
        "outputId": "26e19cab-ee8c-4e00-e865-9920f405e975"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "nx.draw_spring(G)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0mqSM3-8ikir"
      },
      "source": [
        "the [Kamada-Kawai algorithm](https://www-sciencedirect-com.proxy.uchicago.edu/science/article/pii/0020019089901026?via%3Dihub) also gives visually pleasing results."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "u7RKkAAbikir",
        "outputId": "d3f26a2b-a273-4aa8-86f0-ad484642a6c0"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "nx.draw_kamada_kawai(G)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "xbeQPMgVikir",
        "outputId": "1c4c92a9-0140-4bb9-fc4c-ac856f8d28bf"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{0: array([0.17110579, 0.96050409]),\n",
              " 1: array([-0.07340844,  0.39883311]),\n",
              " 2: array([-0.1636278 ,  0.80843733]),\n",
              " 3: array([0.6557681 , 0.34205121]),\n",
              " 4: array([0.24983722, 0.66262339]),\n",
              " 5: array([0.66428275, 0.46626272]),\n",
              " 6: array([0.18279235, 0.50528361]),\n",
              " 7: array([-0.00311155,  0.72496871]),\n",
              " 8: array([0.45659536, 0.03043568]),\n",
              " 9: array([0.37525956, 0.70189348]),\n",
              " 10: array([-0.21879532,  0.62791278]),\n",
              " 11: array([0.37069697, 0.98009284]),\n",
              " 12: array([0.25848514, 0.27074475]),\n",
              " 13: array([0.50460278, 0.66928933]),\n",
              " 14: array([0.71199042, 0.66230768]),\n",
              " 15: array([0.58155124, 0.10662501]),\n",
              " 16: array([0.27799907, 0.49193621]),\n",
              " 17: array([0.32311994, 0.2392366 ]),\n",
              " 18: array([0.04597729, 0.34867528]),\n",
              " 19: array([0.40591381, 0.39122102]),\n",
              " 20: array([0.1402521 , 0.72953965]),\n",
              " 21: array([0.70020601, 0.03658417]),\n",
              " 22: array([0.52709292, 0.5576614 ]),\n",
              " 23: array([0.52252782, 0.82177566]),\n",
              " 24: array([0.82134001, 0.30528987]),\n",
              " 25: array([-0.53368525, -0.0098704 ]),\n",
              " 26: array([-0.42096579,  0.10067772]),\n",
              " 27: array([-0.52358375, -0.16721761]),\n",
              " 28: array([-1.        ,  0.12538073]),\n",
              " 29: array([-0.3029243 , -0.21589201]),\n",
              " 30: array([-0.23421812,  0.01156078]),\n",
              " 31: array([-0.64818868, -0.13952288]),\n",
              " 32: array([-0.75698617,  0.08511158]),\n",
              " 33: array([-0.78690368, -0.06417558]),\n",
              " 34: array([-0.74399632, -0.42400335]),\n",
              " 35: array([-0.82684009, -0.12782017]),\n",
              " 36: array([-0.94601317, -0.03558783]),\n",
              " 37: array([-0.83281379, -0.27244581]),\n",
              " 38: array([-0.3253795 ,  0.51545033]),\n",
              " 39: array([-0.66515324, -0.25529943]),\n",
              " 40: array([-0.4672691 ,  0.17548859]),\n",
              " 41: array([-0.57359166,  0.42224945]),\n",
              " 42: array([-0.9949458 ,  0.44866723]),\n",
              " 43: array([-0.534468  ,  0.30539691]),\n",
              " 44: array([-0.85281079,  0.18976326]),\n",
              " 45: array([-0.56340319, -0.48409942]),\n",
              " 46: array([-0.40202583, -0.38023752]),\n",
              " 47: array([-0.59452747,  0.15958976]),\n",
              " 48: array([-0.70329683,  0.29878521]),\n",
              " 49: array([-0.70492806,  0.41489023]),\n",
              " 50: array([ 0.72031485, -0.29968256]),\n",
              " 51: array([ 0.11775694, -0.70402689]),\n",
              " 52: array([ 0.33153675, -0.81225537]),\n",
              " 53: array([ 0.04177474, -0.33137769]),\n",
              " 54: array([ 0.56143996, -0.36084002]),\n",
              " 55: array([ 0.23535027, -0.53712185]),\n",
              " 56: array([ 0.25423092, -0.77793624]),\n",
              " 57: array([ 0.06792596, -0.81830562]),\n",
              " 58: array([ 0.57662783, -0.64210137]),\n",
              " 59: array([-0.15580042, -0.60891649]),\n",
              " 60: array([ 0.11649154, -0.3834705 ]),\n",
              " 61: array([ 0.40544559, -0.33738613]),\n",
              " 62: array([ 0.30263416, -0.16734182]),\n",
              " 63: array([ 0.94344243, -0.61761507]),\n",
              " 64: array([-0.06727787, -0.51977745]),\n",
              " 65: array([ 0.40420223, -0.69517689]),\n",
              " 66: array([ 0.39064416, -0.26508681]),\n",
              " 67: array([ 0.70705537, -0.59435424]),\n",
              " 68: array([ 0.37151636, -0.51377755]),\n",
              " 69: array([ 0.00633673, -0.93301984]),\n",
              " 70: array([-0.06702971, -0.69029724]),\n",
              " 71: array([ 0.45015611, -0.76124617]),\n",
              " 72: array([ 0.51211408, -0.47872145]),\n",
              " 73: array([ 0.06006509, -0.46173277]),\n",
              " 74: array([ 0.16351096, -0.20545729])}"
            ]
          },
          "execution_count": 35,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "pos = nx.kamada_kawai_layout(G)\n",
        "pos"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "77EJTNiyikir",
        "outputId": "b43646c8-7bc7-4ce8-d0a2-509fda0ab0a3"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "nx.draw_circular(G)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MxjO9373ikir"
      },
      "source": [
        "## Algorithms\n",
        "\n",
        "NetworkX implements a variety of graph algorithms.\n",
        "\n",
        "### Shortest Paths\n",
        "\n",
        "A path between nodes $x$ and $y$ is a sequence of edges where the target of an edge is the source of the next edge.\n",
        "\\begin{equation}\n",
        "(x, v_0), (v_0, v_1), \\dots, (v_k, y)\n",
        "\\end{equation}\n",
        "The length of the path is the number of edges in the sequence.  A shortest path is a path with the shortest length over all possible paths.\n",
        "\n",
        "We'll illustrate on a 2D grid:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "1R0OX0Vbikir",
        "outputId": "cd48533b-dd56-43fb-9eea-9ed8d5ec2ccc"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "G = nx.grid_2d_graph(10,10)\n",
        "pos = nx.kamada_kawai_layout(G)\n",
        "nx.draw(G, pos, with_labels=True)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "r4JRU5Byikir",
        "outputId": "a0380219-33ce-4a5a-ac01-e9dd4277495d"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "pos = {(i,j): np.array([i,j]) for i in range(10) for j in range(10)}\n",
        "nx.draw(G, pos, with_labels=True)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BzHutbFMikir"
      },
      "source": [
        "The nodes of this 2D grid are indexed by coordinates $(i,j)$."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "np80uN6dikis",
        "outputId": "79ba4e57-0f96-4b2a-995c-6317beba9e52"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "p = nx.shortest_path(G, (0,0), (9,9))\n",
        "elist = [[p[i], p[i+1]] for i in range(len(p)-1)]\n",
        "nx.draw(G, pos)\n",
        "nx.draw_networkx_edges(G, pos, elist, edge_color='r', width=3.0)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nA7-8PuHikis"
      },
      "source": [
        "The length of the shortest path between any two nodes in a graph $G$ defines a metric on the vertex set (this is analagous to the geodesic metric on a manifold)."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "LSQoms7-ikis"
      },
      "outputs": [],
      "source": [
        "dists = nx.shortest_path_length(G)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1IeW8eOJikis"
      },
      "source": [
        "This creates an iterator over shortest path lengths for each node"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TUMQwZ_tikis"
      },
      "source": [
        "### Exercise\n",
        "\n",
        "Write a function which returns a distance matrix for the shortest path length."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "NzJ45Obfikis"
      },
      "outputs": [],
      "source": [
        "## Your code here\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BuN0lqu1ikis"
      },
      "source": [
        "### Spanning Trees\n",
        "\n",
        "A tree is a connected graph with no cycles.  If the graph has $n$ nodes, it must have $m = n-1$ edges to be a tree.\n",
        "\n",
        "A spanning tree of a graph $G$ is a sub-graph with the same set of nodes, and a subset of edges that forms a tree.  A minimum spanning tree (MST) is a spanning tree with minimum weight (you can weight edges using a `'weight'` attribute).\n",
        "\n",
        "You can compute a spanning tree of a graph using `nx.tree.minimum_spanning_tree`, or `nx.tree.minimum_spanning_edges`.  Other tree algorithms are provided [as well](https://networkx.org/documentation/stable/reference/algorithms/tree.html).\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "LJvlekkkikis",
        "outputId": "3706c61d-796b-476a-d6cc-a3e36ddd89f2"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "T = nx.tree.minimum_spanning_tree(G)\n",
        "\n",
        "nx.draw(G, pos)\n",
        "nx.draw(T, pos, edge_color='r', width=3.0)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "p_zGspr1ikis",
        "outputId": "44436cb3-4587-4cb9-b580-dee95cf3caee"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# set random weights\n",
        "for i,j in G.edges():\n",
        "    G[i][j]['weight'] = np.random.rand()\n",
        "\n",
        "\n",
        "T = nx.tree.minimum_spanning_tree(G)\n",
        "\n",
        "# nx.draw(G, pos, )\n",
        "nx.draw(T, pos, edge_color='r', width=3.0)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "X39tRo-_ikit"
      },
      "source": [
        "### Exercise\n",
        "\n",
        "Create a function that generates a maze on a 2-dimensional $m \\times n$ grid using `nx.grid_2d_graph` and a randomly weighted MST.  Place the start and end points at $(0,0)$ and $(m-1, n-1)$ respectively.\n",
        "\n",
        "Create a function that solves a maze by computing the shortest path between the start and end points."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "wmbqpwfSiki0"
      },
      "outputs": [],
      "source": [
        "## Your code here\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TKwvknIOiki0"
      },
      "source": [
        "### Bipartite Graphs\n",
        "\n",
        "A [bipartite graph](https://en.wikipedia.org/wiki/Bipartite_graph) is a graph where nodes are separated into two sets $U, V$, and where edges are of the form $(u,v)$ with $u\\in U$, and $v\\in V$ (there are no edges between two points in $U$ or two points in $V$).\n",
        "\n",
        "Bipartite graphs are often used to encode matching problems.  For example, dating websites might match romantic partners, and ride apps such as Uber and Lyft might match riders with drivers.\n",
        "\n",
        "NetworkX functionality for biparite graphs is in [`nx.algorithms.bipartite`](https://networkx.org/documentation/stable/reference/algorithms/bipartite.html)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "--kD6fH3iki0",
        "outputId": "1b066f02-d1fc-4e49-ea6d-401ae69eaaca"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "from networkx.algorithms import bipartite\n",
        "\n",
        "B = bipartite.random_graph(5, 7, 0.5)\n",
        "\n",
        "nx.draw(B)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Tmt9cBV7iki0",
        "outputId": "182bc70b-e906-432a-e3e0-366d7f4cf914"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "NodeDataView({0: {'bipartite': 0}, 1: {'bipartite': 0}, 2: {'bipartite': 0}, 3: {'bipartite': 0}, 4: {'bipartite': 0}, 5: {'bipartite': 1}, 6: {'bipartite': 1}, 7: {'bipartite': 1}, 8: {'bipartite': 1}, 9: {'bipartite': 1}, 10: {'bipartite': 1}, 11: {'bipartite': 1}})"
            ]
          },
          "execution_count": 48,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "B.nodes(data=True)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rB5RVticiki1"
      },
      "source": [
        "Let's explicitly define positions to visualize the bipartite graph"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Iy1EdhoMiki1",
        "outputId": "3d47f1e6-67bd-48ca-bbb1-2949236e6ab1"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "pos = {}\n",
        "cts = [0, 0]\n",
        "\n",
        "for i, data in B.nodes(data=True):\n",
        "    group = data['bipartite']\n",
        "    pos[i] = np.array([group, cts[group]])\n",
        "    cts[group] = cts[group] + 1\n",
        "\n",
        "nx.draw(B, pos)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "t7R_k8iuiki1",
        "outputId": "94222837-41d7-480b-df72-7c5c66f43192"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# set random weights\n",
        "for i,j in B.edges():\n",
        "    B[i][j]['weight'] = np.random.rand()\n",
        "\n",
        "weights = [B[u][v]['weight'] for u,v in B.edges()]\n",
        "\n",
        "nx.draw(B, pos, width=weights)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "O4f9tOy8iki1",
        "outputId": "3be96a4f-02c3-436a-85a8-87a51f0131de"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{0: 5, 1: 10, 2: 6, 3: 7, 4: 8, 5: 0, 6: 2, 7: 3, 8: 4, 10: 1}"
            ]
          },
          "execution_count": 51,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# compute maximum matching\n",
        "match = bipartite.maximum_matching(B)\n",
        "match"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "kzWl8DRNiki1",
        "outputId": "460544a0-6c3a-44d2-e447-66686569f6ac"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "elist = [[k, v] for k, v in match.items()]\n",
        "\n",
        "nx.draw(B, pos, width=weights)\n",
        "nx.draw_networkx_edges(B, pos, elist, edge_color='r', width=1.0)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "18taZiKliki2"
      },
      "source": [
        "### Other Graph Algorithms\n",
        "\n",
        "There are many interesting applications of graphs and many graph algorithms that you might consider using.  See the [NetworkX algorithms documentation](https://networkx.org/documentation/stable/reference/algorithms/index.html) to see what some of the possibilities are."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bycxIeEkiki2"
      },
      "source": [
        "## Reading Graphs\n",
        "\n",
        "In scientific computing, you'll typically get a graph from some sort of data.  Often these graphs are referred to as \"complex networks\".  One good source of data is the [Stanford Large Network Dataset Collection](http://snap.stanford.edu/data/index.html)\n",
        "\n",
        "Graphs can be stored in a variety of formats.  You can find documentation for NetworkX's read/write capabilities [here](https://networkx.org/documentation/stable/reference/readwrite/index.html).\n",
        "\n",
        "There are also some built-in example graphs in NetworkX. One example graph is the [Zachary Karate Club Graph](https://networkx.org/documentation/stable/auto_examples/graph/plot_karate_club.html), which encodes friendships between individuals in a Karate club.  There are some other example [social network graphs](https://networkx.org/documentation/stable/reference/generators.html#module-networkx.generators.social)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "OWzvUQ90iki2",
        "outputId": "4646b1a0-e5f9-4298-8032-3e486f939b39"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "G = nx.karate_club_graph()\n",
        "nx.draw_kamada_kawai(G)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8JeDIGCbiki2"
      },
      "source": [
        "Here's an example of reading and writing a graph as an edgelist:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "DHkafn1wiki3"
      },
      "outputs": [],
      "source": [
        "B = bipartite.random_graph(5, 7, 0.5)\n",
        "nx.write_edgelist(B, \"bipartite.graph\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Nb-j8yL6iki3"
      },
      "outputs": [],
      "source": [
        "B2 = nx.read_edgelist(\"bipartite.graph\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "RySjc25jiki3"
      },
      "outputs": [],
      "source": []
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python (pycourse)",
      "language": "python",
      "name": "pycourse"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.8.3"
    },
    "colab": {
      "provenance": []
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}